Question 62

The value of $$\frac{\sin 30^\circ \sin 60^\circ}{\cos 60^\circ \cos 30^\circ } - \tan 45^\circ$$ is:

Solution

$$\frac{\sin 30^\circ \sin 60^\circ}{\cos 60^\circ \cos 30^\circ } - \tan 45^\circ$$

Put the values in the expression,

$$\frac{\frac{1}{2} \times \frac{\sqrt3}{2}}{\frac{1}{2} \times \frac{\sqrt3}{2} } - 1$$

= 1 - 1 = 0

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